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-2x+7y=-28 Find the missing value from each of the ordered pairs below so that each is a solution to the equation. a) (0,underline ( )) b) (underline ( ),0) c) (underline ( ),-2)

Problemas

-2x+7y=-28
Find the missing value from each of the ordered pairs below so that each is a solution
to the equation.
a) (0,underline ( ))
b) (underline ( ),0)
c) (underline ( ),-2)

-2x+7y=-28 Find the missing value from each of the ordered pairs below so that each is a solution to the equation. a) (0,underline ( )) b) (underline ( ),0) c) (underline ( ),-2)

Solución

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Guillerminaprofessionell · Tutor durante 6 años
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To find the missing values in each ordered pair, we need to substitute the given values into the equation and solve for the unknown variable.<br /><br />a) $(0,\underline {\quad })$<br />Substitute $x = 0$ into the equation:<br />$-2(0) + 7y = -28$<br />$7y = -28$<br />$y = -4$<br />So, the missing value is $-4$. The ordered pair is $(0, -4)$.<br /><br />b) $(\underline {\quad },0)$<br />Substitute $y = 0$ into the equation:<br />$-2x + 7(0) = -28$<br />$-2x = -28$<br />$x = 14$<br />So, the missing value is $14$. The ordered pair is $(14, 0)$.<br /><br />c) $(\underline {\quad },-2)$<br />Substitute $y = -2$ into the equation:<br />$-2x + 7(-2) = -28$<br />$-2x - 14 = -28$<br />$-2x = -14$<br />$x = 7$<br />So, the missing value is $7$. The ordered pair is $(7, -2)$.<br /><br />Therefore, the missing values for each ordered pair are:<br />a) $(0, -4)$<br />b) $(14, 0)$<br />c) $(7, -2)$
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